57770640 has 240 divisors, whose sum is σ = 211236480. Its totient is φ = 14100480.

The previous prime is 57770633. The next prime is 57770663. The reversal of 57770640 is 4607775.

57770640 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57770595 and 57770604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560829 + ... + 560931.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^57770640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

57770640 is an abundant number, since it is smaller than the sum of its proper divisors (153465840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57770640 is a wasteful number, since it uses less digits than its factorization.

57770640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57770640 is about 7600.6999677661. The cubic root of 57770640 is about 386.5767461666.

It can be divided in two parts, 577 and 70640, that added together give a palindrome (71217).

The spelling of 57770640 in words is "fifty-seven million, seven hundred seventy thousand, six hundred forty".